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Compact and noncompact structures in a class of nonlinearly dispersive equations. (English) Zbl 1013.35072
Summary: We study compact and noncompact dispersive structures formed by a class of nonlinear dispersive equations. We show that the focusing branches provide compactons solutions: solitons with compact support. We also show that the defocusing branches generate solitary patterns solutions. We test our work for a variety of nonlinear equations with positive and negative exponents.

##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 37K40 Soliton theory, asymptotic behavior of solutions
##### Keywords:
compactons; solitons; nonlinear dispersion; solitary patterns
Full Text:
##### References:
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